The answer is: [tex]\frac{1}{12}[/tex]
From the statement we know that he planted peas in 3/8 of her garden and herbs in 1/8 of it, it means 1/2 of the garden, and after that, she divided the rest of the garden into 6 sections. We are asked to find the fraction of the original garden is each section, so:
For Planted garden
[tex]\frac{3}{8}+\frac{1}{8}=\frac{4}{8}=\frac{1}{2}[/tex]
So, she planted 1/2 of the garden, it means that there is another 1/2 free to be divided into 6 sections,
Then,
[tex]\frac{\frac{1}{2} }{6}=\frac{1}{12}[/tex]
Therefore,
Each section would be [tex]\frac{1}{12}[/tex] of the original garden.
Have a nice day!
